**Find a cubic function that has horizontal tangents at two**

If the the number of parameters is more than two, two points are not sufficient. For example, consider f(x,y;a, b, c)=y-a sin ( bx + c )=0 This has three parameters. So, three points â€¦... 18/05/2014Â Â· I am working on finding the area of a solid object. I have 4 points that I need to calculate a cubic equation from. I have tried relentlessly but to no avail I always get the wrong answer.

**Find Cubic Equation from Four Points? Physics Forums**

4/05/2009Â Â· I need to equation for a cubic function that would fit to given points. Unhappily I can only find reverse - points from function.... 24/07/2008Â Â· Find a cubic function ax^3 + bx^2 + cx + d whose graph has horizontal tangents at the points (-2, 6) and (2. 0). I realize that the trick in here somewhere is to work "backwards". I completed a problem earlier that asked me to find the points at which a given function had horizontal tangents. I

**javascript Finding all possible cubic equations from 3**

tangent to cubic 8/16/2007 2 The algebraic analysis The family of lines through the origin is described by the equation y = mx where m is the slope of the line.... 24/07/2008Â Â· Find a cubic function ax^3 + bx^2 + cx + d whose graph has horizontal tangents at the points (-2, 6) and (2. 0). I realize that the trick in here somewhere is to work "backwards". I completed a problem earlier that asked me to find the points at which a given function had horizontal tangents. I

**Cubic Equation Wolfram Demonstrations Project**

Horizontal tangents means that the slope of the line tangent to the cubic function is zero. Slope of tangent line is the same as derivative. According to first derivative test, the given points â€¦... Somewhere in between, the polynomial's value must cross the x-axis, and at this point it is zero. This is true because polynomial functions are continuous. So the trick is to find one real root, r, then divide the cubic equation by (x-r) to reduce the equation to a quadratic, and then it is easy to find the other two â€¦

## How To Find The Cubic Equation With Two Points

### Smooth BÃ©zier Spline Through Prescribed Points

- Creating a cubic function from four points. Excel Help Forum
- Smooth BÃ©zier Spline Through Prescribed Points
- Smooth BÃ©zier Spline Through Prescribed Points
- Creating a cubic function from four points. Excel Help Forum

## How To Find The Cubic Equation With Two Points

### Sketch the graphs of cubic functions in the standard form . Find the equation of a cubic function. Work with the graph of the derivative function. Summary The cubic graph has the general equation .

- Introduction. Originally, spline was a term for elastic rulers that were bent to pass through a number of predefined points ("knots"). These were used to make technical drawings for shipbuilding and construction by hand, as illustrated by Figure 1.
- 4/05/2009Â Â· I need to equation for a cubic function that would fit to given points. Unhappily I can only find reverse - points from function.
- tangent to cubic 8/16/2007 2 The algebraic analysis The family of lines through the origin is described by the equation y = mx where m is the slope of the line.
- also gives you three handles on any Type 11 cubic (one from the cubic and two from the Hessian) to map using equation (0.4). Finally, if the discriminant is zero, both the Hessian and the cubic â€¦

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